Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds

Autores
Lauret, Emilio Agustin
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation equivalent; that is, the right regular representations L2(Γ1\G) and L2(Γ2\G) are unitarily equivalent.
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
Representation Equivalent
Strongly Isospectrality
Compact Flat Manifolds
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/31945
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat ManifoldsLauret, Emilio AgustinRepresentation EquivalentStrongly IsospectralityCompact Flat Manifoldshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation equivalent; that is, the right regular representations L2(Γ1\G) and L2(Γ2\G) are unitarily equivalent.Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaCanadian Mathematical Soc2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31945Lauret, Emilio Agustin; Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 57; 2; 6-2014; 357-3630008-4395CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://cms.math.ca/10.4153/CMB-2013-013-2info:eu-repo/semantics/altIdentifier/doi/10.4153/CMB-2013-013-2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:56:58Zoai:ri.conicet.gov.ar:11336/31945instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:56:58.364CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
title Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
spellingShingle Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
Lauret, Emilio Agustin
Representation Equivalent
Strongly Isospectrality
Compact Flat Manifolds
title_short Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
title_full Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
title_fullStr Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
title_full_unstemmed Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
title_sort Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
dc.creator.none.fl_str_mv Lauret, Emilio Agustin
author Lauret, Emilio Agustin
author_facet Lauret, Emilio Agustin
author_role author
dc.subject.none.fl_str_mv Representation Equivalent
Strongly Isospectrality
Compact Flat Manifolds
topic Representation Equivalent
Strongly Isospectrality
Compact Flat Manifolds
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation equivalent; that is, the right regular representations L2(Γ1\G) and L2(Γ2\G) are unitarily equivalent.
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation equivalent; that is, the right regular representations L2(Γ1\G) and L2(Γ2\G) are unitarily equivalent.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/31945
Lauret, Emilio Agustin; Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 57; 2; 6-2014; 357-363
0008-4395
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31945
identifier_str_mv Lauret, Emilio Agustin; Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 57; 2; 6-2014; 357-363
0008-4395
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://cms.math.ca/10.4153/CMB-2013-013-2
info:eu-repo/semantics/altIdentifier/doi/10.4153/CMB-2013-013-2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Canadian Mathematical Soc
publisher.none.fl_str_mv Canadian Mathematical Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269431851384832
score 13.13397

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